Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 

 

On the identifiability of binary Segre products


Authors: Cristiano Bocci and Luca Chiantini
Journal: J. Algebraic Geom. 22 (2013), 1-11
DOI: https://doi.org/10.1090/S1056-3911-2011-00592-4
Published electronically: November 22, 2011
MathSciNet review: 2993044
Full-text PDF

Abstract | References | Additional Information

Abstract: We prove that a product of $ m>5$ copies of $ \mathbb{P}^1$, embedded in the projective space $ \mathbb{P}^r$ by the standard Segre embedding, is $ k$-identifiable (i.e. a general point of the secant variety $ S^k(X)$ is contained in only one $ (k+1)$-secant $ k$-space), for all $ k$ such that $ k+1\leq 2^{m-1}/m$.


References [Enhancements On Off] (What's this?)


Additional Information

Cristiano Bocci
Affiliation: Universitá degli Studi di Siena, Dipartimento di Scienze Matematiche e Informatiche, Pian dei Mantellini, 44, I – 53100 Siena, Italy
Email: cristiano.bocci@unisi.it

Luca Chiantini
Affiliation: Universitá degli Studi di Siena, Dipartimento di Scienze Matematiche e Informatiche, Pian dei Mantellini, 44, I – 53100 Siena, Italy
Email: chiantini@unisi.it

DOI: https://doi.org/10.1090/S1056-3911-2011-00592-4
Received by editor(s): December 30, 2009
Received by editor(s) in revised form: February 21, 2011, and March 9, 2011
Published electronically: November 22, 2011

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
is sponsored by the Department of Mathematical Sciences
of Tsinghua University
and is distributed by the American Mathematical Society
for University Press, Inc.
Online ISSN 1534-7486; Print ISSN 1056-3911
© 2017 University Press, Inc.
Comments: jag-query@ams.org
AMS Website